Chapter 9
Parting Ways: Integration by Parts
IN THIS CHAPTER
Making the connection between the Product rule and integration by parts
Knowing how and when integration by parts works
Integrating by parts by using the DI-agonal method
Practicing the DI-agonal method on the four most common products of functions
In Calculus I, you find that the Product rule allows you to calculate the derivative of any two functions that are multiplied together. (I review this rule in Chapter 3, in case you need a refresher.) But integrating the product of two functions isn’t quite as simple.
Unfortunately, no formula allows you to integrate the product of two indiscriminate functions. As a result, a variety of techniques have been developed to handle products of functions on a case-by-case basis.
In this chapter, I show you the most widely applicable technique for integrating products, called integration by parts. First, I demonstrate how the formula for integration by parts follows the Product rule. Then I show you how the formula works in practice. After that, I give you a list of the products of ...
Get Calculus II For Dummies, 3rd Edition now with the O’Reilly learning platform.
O’Reilly members experience books, live events, courses curated by job role, and more from O’Reilly and nearly 200 top publishers.
